Equivalent Definitions of A Closed Set
In a topological space, a set is closed if and only if it coincides with its closure. Equivalently, a set is closed if and only if it contains all of its limit points.
This is not to be confused with a closed manifold.
Read more about this topic: Closed Set
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“Don: Why are they closed? Theyre all closed, every one of them.
Pawnbroker: Sure they are. Its Yom Kippur.
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Don: It is? So what about Kellys and Gallaghers?
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—Alexander Theroux (b. 1940)